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Well-posedness for the periodic Hyperbolic nonlinear Schrödinger equations
Engin Başakoğlu, Yuzhao Wang
We establish local well-posedness for the hyperbolic nonlinear Schrodinger equation (HNLS) in the critical spaces. Following the approach of Killip and Visan, we derive scale-invar…
Sharp unconditional well-posedness of the 2- periodic cubic hyperbolic nonlinear Schrödinger equation
Engin Başakoğlu, Tadahiro Oh, Yuzhao Wang
We study semilinear local well-posedness of the two-dimensional periodic cubic hyperbolic nonlinear Schrödinger equation (HNLS) in Fourier-Lebesgue spaces. By employing the Fourier…
Scattering for Stochastic Nonlinear Schrödinger Equations with additive noise
Engin Başakoğlu, Faruk Temur, Barış Yeşiloğlu +1
We study the scattering for the energy-subcritical stochastic nonlinear Schrödinger equation (SNLS) with additive noise. In particular, we examine the long-time behavior of solutio…
Global Well-posedness for The Fourth-order Nonlinear Schrödinger Equations on
Engin Başakoğlu, Barış Yeşiloğlu, Oğuz Yılmaz
We study the global well-posedness of the two-dimensional defocusing fourth-order Schrödinger initial value problem with power type nonlinearities where is…